(1) A monopolist with cost function sells in a market with demand C(q) (9-8)3+188q+512 q=24-p/50. Note that C(0) = 0, so the firm has no fixed costs. (a) What price pM does the monopolist charge? What quantity qM does he sell? (b) What output q" would maximize social surplus? What is the monopolistic outcome's deadweight loss? (c) The government decides to regulate the company and sets a price cap p. The govern- ment also offers the company a lump sum subsidy S if the the company stays and serves the market. What price cap p maximizes social surplus and what is the corresponding minimum subsidy S that the government can offer to ensure the company stays.
(1) A monopolist with cost function sells in a market with demand C(q) (9-8)3+188q+512 q=24-p/50. Note that C(0) = 0, so the firm has no fixed costs. (a) What price pM does the monopolist charge? What quantity qM does he sell? (b) What output q" would maximize social surplus? What is the monopolistic outcome's deadweight loss? (c) The government decides to regulate the company and sets a price cap p. The govern- ment also offers the company a lump sum subsidy S if the the company stays and serves the market. What price cap p maximizes social surplus and what is the corresponding minimum subsidy S that the government can offer to ensure the company stays.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:(1) A monopolist with cost function
sells in a market with demand
C(q) (9-8)3+188q+512
q=24-p/50.
Note that C(0) = 0, so the firm has no fixed costs.
(a) What price pM does the monopolist charge? What quantity qM does he sell?
(b) What output q" would maximize social surplus? What is the monopolistic outcome's
deadweight loss?
(c) The government decides to regulate the company and sets a price cap p. The govern-
ment also offers the company a lump sum subsidy S if the the company stays and serves
the market. What price cap p maximizes social surplus and what is the corresponding
minimum subsidy S that the government can offer to ensure the company stays.
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